Solve -7-k=k/b

$$- 7 - k = \frac { k } { b }$$

Solve for b

$$b=-\frac{k}{k+7}$$

$$k\neq 0\text{ and }k\neq -7$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$b\left(-7\right)-kb=k$$

Combine all terms containing b.

$$\left(-7-k\right)b=k$$

The equation is in standard form.

$$\left(-k-7\right)b=k$$

Divide both sides by -7-k.

$$\frac{\left(-k-7\right)b}{-k-7}=\frac{k}{-k-7}$$

Dividing by -7-k undoes the multiplication by -7-k.

$$b=\frac{k}{-k-7}$$

Divide k by -7-k.

$$b=-\frac{k}{k+7}$$

Variable b cannot be equal to 0.

$$b=-\frac{k}{k+7}\text{, }b\neq 0$$

Solve for k

$$k=-\frac{7b}{b+1}$$

$$b\neq -1\text{ and }b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$b\left(-7\right)-kb=k$$

Subtract k from both sides.

$$b\left(-7\right)-kb-k=0$$

Subtract b\left(-7\right) from both sides. Anything subtracted from zero gives its negation.

$$-kb-k=-b\left(-7\right)$$

Multiply -1 and -7 to get 7.

$$-kb-k=7b$$

Combine all terms containing k.

$$\left(-b-1\right)k=7b$$

Divide both sides by -1-b.

$$\frac{\left(-b-1\right)k}{-b-1}=\frac{7b}{-b-1}$$

Dividing by -1-b undoes the multiplication by -1-b.

$$k=\frac{7b}{-b-1}$$

Divide 7b by -1-b.

$$k=-\frac{7b}{b+1}$$